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Question
a circle has a circumference of 907.46 units. what is the diameter of the circle? use 3.14 for π and enter your answer as a decimal.
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Step1: Recall the formula for the circumference of a circle
The formula for the circumference \( C \) of a circle is \( C=\pi d \), where \( d \) is the diameter. We need to solve for \( d \), so we can rearrange the formula to \( d = \frac{C}{\pi} \).
Step2: Substitute the given values
We know that \( C = 907.46 \) units and \( \pi=3.14 \). Substituting these values into the formula for \( d \), we get \( d=\frac{907.46}{3.14} \).
Step3: Perform the division
Calculating \( \frac{907.46}{3.14} \), we divide 907.46 by 3.14. \( 907.46\div3.14 = 289 \).
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289